Theorems · Definition · number theory
Rat.AbsoluteValue.real
AbsoluteValue ℚ ℝ
The standard absolute value on ℚ. We name it real because it corresponds to the
unique real place of ℚ.
- Defined in
- Mathlib.NumberTheory.Ostrowski
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- absproof · cited by 1,814
- AbsoluteValuestatement · cited by 363
Cited by4
Results whose statement or proof uses this declaration.
- Rat.AbsoluteValue.real_eq_absstatement · cited by 2
- Rat.AbsoluteValue.equiv_real_of_unboundedstatement and proof · cited by 1
- Rat.AbsoluteValue.equiv_real_or_padicstatement · cited by 0
- Rat.AbsoluteValue.not_real_isEquiv_padicstatement and proof · cited by 0